In a simplified linear-manifold model, kernel-smoothing the empirical score lowers sampling-noise variance and improves the asymptotic KL bound between true and generated distributions.
Swarm gradient dynamics for global optimization: the mean-field limit case
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Kernel-Smoothed Scores for Denoising Diffusion: A Bias-Variance Study
In a simplified linear-manifold model, kernel-smoothing the empirical score lowers sampling-noise variance and improves the asymptotic KL bound between true and generated distributions.